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Finding the Third Proportional to 295,903.13 and 457,665.19

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Solution

The third proportional to 295,903.13 and 457,665.19 is: 707,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,903.13 : 457,665.19 = 457,665.19 : x
  2. Step 2: Convert to fraction form
    295,903.13/457,665.19 = 457,665.19/x
  3. Step 3: Cross multiply
    295,903.13x = 457,665.19 × 457,665.19
  4. Step 4: Simplify right side
    295,903.13x = 209,457,423,849.41
  5. Step 5: Solve for x
    x = 209,457,423,849.41/295,903.13
  6. Step 6: Final answer
    x = 707,858.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.